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Solution for 305.25 is what percent of 31:

305.25:31*100 =

(305.25*100):31 =

30525:31 = 984.67741935484

Now we have: 305.25 is what percent of 31 = 984.67741935484

Question: 305.25 is what percent of 31?

Percentage solution with steps:

Step 1: We make the assumption that 31 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={31}.

Step 4: In the same vein, {x\%}={305.25}.

Step 5: This gives us a pair of simple equations:

{100\%}={31}(1).

{x\%}={305.25}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{31}{305.25}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{305.25}{31}

\Rightarrow{x} = {984.67741935484\%}

Therefore, {305.25} is {984.67741935484\%} of {31}.

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Solution for 31 is what percent of 305.25:

31:305.25*100 =

(31*100):305.25 =

3100:305.25 = 10.15561015561

Now we have: 31 is what percent of 305.25 = 10.15561015561

Question: 31 is what percent of 305.25?

Percentage solution with steps:

Step 1: We make the assumption that 305.25 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={305.25}.

Step 4: In the same vein, {x\%}={31}.

Step 5: This gives us a pair of simple equations:

{100\%}={305.25}(1).

{x\%}={31}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{305.25}{31}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{31}{305.25}

\Rightarrow{x} = {10.15561015561\%}

Therefore, {31} is {10.15561015561\%} of {305.25}.